Properties of the Number 9973

Nine Thousand Nine Hundred Seventy-Three

Basics

Value: 9972 → 9973 → 9974

Parity: odd

Prime: Yes

Previous Prime: 9967

Next Prime: 10007

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 9973

Divisors: 1, 9973

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011011110101

Octal: 23365

Duodecimal: 5931

Hexadecimal: 26f5

Square: 99460729

Square Root: 99.86490875177326

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Largest n-digit prime. A3618

Bertrand primes: a(n) is largest prime < 2·a(n-1) for n > 1, with a(1) = 2. A6992

Number of 4's in the last section of the set of partitions of n. A182714

a(n) = largest member of the n-th term in S(10) (defined in Comments). A158579

Smallest prime p(k) such that the number of distinct prime divisors of all composite numbers between p(k) and p(k+1) is n. A75580

Primes from merging of 4 successive digits in decimal expansion of Euler-Mascheroni constant A001620. A198778

Numbers k such that 9973·k + 1009 is prime. A105710

Numbers k such that (31^k - 1)/30 is prime. A128002

Number T(n,k) of equivalence classes of ways of placing k 3 X 3 tiles in an n X n square under all symmetry operations of the square; irregular triangle T(n,k), n>=3, 0<=k<=floor(n/3)², read by rows. A236560

Primes having only {3, 7, 9} as digits. A260382